428278400
428,278,400 is an even composite number composed of four prime numbers multiplied together.
428278400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 428278400:
27 × 52 × 11 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 23 × 23 × 23)See below for interesting mathematical facts about the number 428278400 from the Numbermatics database.
Names of 428278400
- Cardinal: 428278400 can be written as Four hundred twenty-eight million, two hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.282784 × 108
Factors of 428278400
Divisors of 428278400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 128 160 176 184 200 220 230 253 275 320 352 368 400 440 460 506 529 550 575 640 704 736 800 880 920 1012 1058 1100 1150 1265 1408 1472 1600 1760 1840 2024 2116 2200 2300 2530 2645 2944 3200 3520 3680 4048 4232 4400 4600 5060 5290 5819 6325 7040 7360 8096 8464 8800 9200 10120 10580 11638 12167 12650 13225 14720 16192 16928 17600 18400 20240 21160 23276 24334 25300 26450 29095 32384 33856 35200 36800 40480 42320 46552 48668 50600 52900 58190 60835 67712 73600 80960 84640 93104 97336 101200 105800 116380 121670 133837 145475 161920 169280 186208 194672 202400 211600 232760 243340 267674 290950 304175 338560 372416 389344 404800 423200 465520 486680 535348 581900 608350 669185 744832 778688 809600 846400 931040 973360 1070696 1163800 1216700 1338370 1557376 1692800 1862080 1946720 2141392 2327600 2433400 2676740 3345925 3724160 3893440 4282784 4655200 4866800 5353480 6691850 7786880 8565568 9310400 9733600 10706960 13383700 17131136 18620800 19467200 21413920 26767400 38934400 42827840 53534800 85655680 107069600 214139200 428278400
- Sum of all divisors σ(n): 1206619200
- Sum of proper divisors (its aliquot sum) s(n): 778340800
- 428278400 is an abundant number, because the sum of its proper divisors (778340800) is greater than itself. Its abundance is 350062400
Bases of 428278400
- Binary: 110011000011100000010100000002
- Hexadecimal: 0x19870280
- Base-36: 72ZHQ8
Squares and roots of 428278400
- 428278400 squared (4282784002) is 183422387906560000
- 428278400 cubed (4282784003) is 78555846816800866304000000
-
The
square root of 428278400 is 20694.8882577317 -
The
cube root of 428278400 is 753.7755689527
Scales and comparisons
How big is 428278400?- 428,278,400 seconds is equal to 13 years, 32 weeks, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,278,400 would take you about twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428278400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428278400
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The information we have on file for 428278400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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